%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM421+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:21 AM UTC 2026 % Result : Theorem 0.17s 0.41s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM421+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 06:17:16 EDT 2026 % 0.07/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.41 % SZS status Theorem % 0.17/0.41 % SZS output start Proof % 0.17/0.41 ( % 0.17/0.41 (declare-sort $$unsorted 0) % 0.17/0.41 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.41 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.41 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.17/0.41 (declare-const tptp.xa $$unsorted) % 0.17/0.41 (declare-const tptp.sz10 $$unsorted) % 0.17/0.41 (declare-const tptp.sz00 $$unsorted) % 0.17/0.41 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.17/0.41 (define @t1 () (@var "W0" $$unsorted)) % 0.17/0.41 (define @t2 () (tptp.aInteger0 @t1)) % 0.17/0.41 (define @t3 () (@list @t1)) % 0.17/0.41 (define @t4 () (tptp.aInteger0 tptp.sz00)) % 0.17/0.41 (define @t5 () (tptp.aInteger0 tptp.sz10)) % 0.17/0.41 (define @t6 () (tptp.smndt0 @t1)) % 0.17/0.41 (define @t7 () (tptp.aInteger0 @t6)) % 0.17/0.41 (define @t8 () (forall @t3 (=> @t2 @t7))) % 0.17/0.41 (define @t9 () (@var "W1" $$unsorted)) % 0.17/0.41 (define @t10 () (tptp.sdtpldt0 @t1 @t9)) % 0.17/0.41 (define @t11 () (tptp.aInteger0 @t9)) % 0.17/0.41 (define @t12 () (and @t2 @t11)) % 0.17/0.41 (define @t13 () (@list @t1 @t9)) % 0.17/0.41 (define @t14 () (tptp.sdtasdt0 @t1 @t9)) % 0.17/0.41 (define @t15 () (tptp.aInteger0 @t14)) % 0.17/0.41 (define @t16 () (forall @t13 (=> @t12 @t15))) % 0.17/0.41 (define @t17 () (@var "W2" $$unsorted)) % 0.17/0.41 (define @t18 () (tptp.sdtpldt0 @t9 @t17)) % 0.17/0.41 (define @t19 () (= (tptp.sdtpldt0 @t1 @t18) (tptp.sdtpldt0 @t10 @t17))) % 0.17/0.41 (define @t20 () (tptp.aInteger0 @t17)) % 0.17/0.41 (define @t21 () (and @t2 @t11 @t20)) % 0.17/0.41 (define @t22 () (@list @t1 @t9 @t17)) % 0.17/0.41 (define @t23 () (forall @t22 (=> @t21 @t19))) % 0.17/0.41 (define @t24 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.17/0.41 (define @t25 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.17/0.41 (define @t26 () (and (= @t25 @t1) @t24)) % 0.17/0.41 (define @t27 () (=> @t2 @t26)) % 0.17/0.41 (define @t28 () (forall @t3 @t27)) % 0.17/0.41 (define @t29 () (= tptp.sz00 (tptp.sdtpldt0 @t6 @t1))) % 0.17/0.41 (define @t30 () (tptp.sdtpldt0 @t1 @t6)) % 0.17/0.41 (define @t31 () (and (= @t30 tptp.sz00) @t29)) % 0.17/0.41 (define @t32 () (=> @t2 @t31)) % 0.17/0.41 (define @t33 () (forall @t3 @t32)) % 0.17/0.41 (define @t34 () (tptp.sdtasdt0 @t9 @t17)) % 0.17/0.41 (define @t35 () (= @t14 (tptp.sdtasdt0 @t9 @t1))) % 0.17/0.41 (define @t36 () (forall @t13 (=> @t12 @t35))) % 0.17/0.41 (define @t37 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 0.17/0.41 (define @t38 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 0.17/0.41 (define @t39 () (and (= @t38 @t1) @t37)) % 0.17/0.41 (define @t40 () (=> @t2 @t39)) % 0.17/0.41 (define @t41 () (forall @t3 @t40)) % 0.17/0.41 (define @t42 () (tptp.sdtasdt0 @t1 @t17)) % 0.17/0.41 (define @t43 () (and (= (tptp.sdtasdt0 @t1 @t18) (tptp.sdtpldt0 @t14 @t42)) (= (tptp.sdtasdt0 @t10 @t17) (tptp.sdtpldt0 @t42 @t34)))) % 0.17/0.41 (define @t44 () (forall @t22 (=> @t21 @t43))) % 0.17/0.41 (define @t45 () (tptp.aInteger0 tptp.xa)) % 0.17/0.41 (define @t46 () (tptp.sdtasdt0 tptp.sz00 tptp.xa)) % 0.17/0.41 (define @t47 () (= tptp.sz00 @t46)) % 0.17/0.41 (define @t48 () (tptp.sdtasdt0 tptp.xa tptp.sz00)) % 0.17/0.41 (define @t49 () (and (= @t48 tptp.sz00) @t47)) % 0.17/0.41 (define @t50 () (not @t49)) % 0.17/0.41 (define @t51 () (and (= @t1 @t25) @t24)) % 0.17/0.41 (define @t52 () (not @t11)) % 0.17/0.41 (define @t53 () (not @t2)) % 0.17/0.41 (define @t54 () (or @t53 @t52)) % 0.17/0.41 (define @t55 () (not @t12)) % 0.17/0.41 (define @t56 () (tptp.aInteger0 @t48)) % 0.17/0.41 (define @t57 () (not @t4)) % 0.17/0.41 (define @t58 () (not @t45)) % 0.17/0.41 (define @t59 () (or @t58 @t57 @t56)) % 0.17/0.41 (define @t60 () (@list false false false)) % 0.17/0.41 (define @t61 () (= @t48 (tptp.sdtpldt0 tptp.sz00 @t48))) % 0.17/0.41 (define @t62 () (and (= @t48 (tptp.sdtpldt0 @t48 tptp.sz00)) @t61)) % 0.17/0.41 (define @t63 () (not @t56)) % 0.17/0.41 (define @t64 () (or @t63 @t62)) % 0.17/0.41 (define @t65 () (@list false false)) % 0.17/0.41 (define @t66 () (@list false)) % 0.17/0.41 (define @t67 () (or @t53 @t52 @t35)) % 0.17/0.41 (define @t68 () (or @t57 @t58 (= @t46 @t48))) % 0.17/0.41 (define @t69 () (forall @t13 @t67)) % 0.17/0.41 (define @t70 () (@list tptp.sz00 tptp.xa)) % 0.17/0.41 (define @t71 () (= @t48 @t46)) % 0.17/0.41 (define @t72 () (or @t57 @t58 @t71)) % 0.17/0.41 (define @t73 () (and (= @t1 @t38) @t37)) % 0.17/0.41 (define @t74 () (tptp.sdtasdt0 tptp.sz10 tptp.sz00)) % 0.17/0.41 (define @t75 () (tptp.sdtasdt0 tptp.sz00 tptp.sz10)) % 0.17/0.41 (define @t76 () (= tptp.sz00 @t75)) % 0.17/0.41 (define @t77 () (and @t76 (= tptp.sz00 @t74))) % 0.17/0.41 (define @t78 () (or @t57 @t77)) % 0.17/0.41 (define @t79 () (and (= tptp.sz00 @t30) @t29)) % 0.17/0.41 (define @t80 () (@list tptp.xa)) % 0.17/0.41 (define @t81 () (tptp.smndt0 tptp.xa)) % 0.17/0.41 (define @t82 () (tptp.sdtpldt0 @t81 tptp.xa)) % 0.17/0.41 (define @t83 () (= tptp.sz00 @t82)) % 0.17/0.41 (define @t84 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xa @t81)) @t83)) % 0.17/0.41 (define @t85 () (or @t58 @t84)) % 0.17/0.41 (define @t86 () (tptp.sdtasdt0 @t82 tptp.sz10)) % 0.17/0.41 (define @t87 () (not @t20)) % 0.17/0.41 (define @t88 () (or @t53 @t52 @t87)) % 0.17/0.41 (define @t89 () (not @t21)) % 0.17/0.41 (define @t90 () (tptp.aInteger0 @t81)) % 0.17/0.41 (define @t91 () (or @t58 @t90)) % 0.17/0.41 (define @t92 () (tptp.sdtasdt0 tptp.xa tptp.sz10)) % 0.17/0.41 (define @t93 () (tptp.sdtasdt0 @t81 tptp.sz10)) % 0.17/0.41 (define @t94 () (tptp.sdtpldt0 @t93 @t92)) % 0.17/0.41 (define @t95 () (= @t86 @t94)) % 0.17/0.41 (define @t96 () (and (= (tptp.sdtasdt0 @t81 (tptp.sdtpldt0 tptp.xa tptp.sz10)) (tptp.sdtpldt0 (tptp.sdtasdt0 @t81 tptp.xa) @t93)) @t95)) % 0.17/0.41 (define @t97 () (not @t5)) % 0.17/0.41 (define @t98 () (not @t90)) % 0.17/0.41 (define @t99 () (or @t98 @t58 @t97 @t96)) % 0.17/0.41 (define @t100 () (@list false false false false)) % 0.17/0.41 (define @t101 () (tptp.sdtpldt0 @t94 @t46)) % 0.17/0.41 (define @t102 () (tptp.sdtasdt0 tptp.sz10 tptp.xa)) % 0.17/0.41 (define @t103 () (= tptp.xa @t102)) % 0.17/0.41 (define @t104 () (= tptp.xa @t92)) % 0.17/0.41 (define @t105 () (and @t104 @t103)) % 0.17/0.41 (define @t106 () (or @t58 @t105)) % 0.17/0.41 (define @t107 () (not @t105)) % 0.17/0.41 (define @t108 () (@list @t105)) % 0.17/0.41 (define @t109 () (tptp.aInteger0 @t92)) % 0.17/0.41 (define @t110 () (tptp.aInteger0 @t93)) % 0.17/0.41 (define @t111 () (or @t98 @t97 @t110)) % 0.17/0.41 (define @t112 () (tptp.aInteger0 @t46)) % 0.17/0.41 (define @t113 () (or @t57 @t58 @t112)) % 0.17/0.41 (define @t114 () (= (tptp.sdtpldt0 @t93 (tptp.sdtpldt0 @t92 @t46)) @t101)) % 0.17/0.41 (define @t115 () (not @t112)) % 0.17/0.41 (define @t116 () (not @t109)) % 0.17/0.41 (define @t117 () (not @t110)) % 0.17/0.41 (define @t118 () (or @t117 @t116 @t115 @t114)) % 0.17/0.41 (define @t119 () (tptp.sdtpldt0 @t102 @t46)) % 0.17/0.41 (define @t120 () (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) % 0.17/0.41 (define @t121 () (= (tptp.sdtasdt0 @t120 tptp.xa) @t119)) % 0.17/0.41 (define @t122 () (and (= (tptp.sdtasdt0 tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.xa)) (tptp.sdtpldt0 @t74 @t102)) @t121)) % 0.17/0.41 (define @t123 () (or @t97 @t57 @t58 @t122)) % 0.17/0.41 (define @t124 () (= tptp.sz10 @t120)) % 0.17/0.41 (define @t125 () (and @t124 (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10)))) % 0.17/0.41 (define @t126 () (or @t97 @t125)) % 0.17/0.41 (assume @p1 (forall @t3 (=> @t2 true))) % 0.17/0.41 (assume @p2 @t4) % 0.17/0.41 (assume @p3 @t5) % 0.17/0.41 (assume @p4 @t8) % 0.17/0.41 (assume @p5 (forall @t13 (=> @t12 (tptp.aInteger0 @t10)))) % 0.17/0.41 (assume @p6 @t16) % 0.17/0.41 (assume @p7 @t23) % 0.17/0.41 (assume @p8 (forall @t13 (=> @t12 (= @t10 (tptp.sdtpldt0 @t9 @t1))))) % 0.17/0.41 (assume @p9 @t28) % 0.17/0.41 (assume @p10 @t33) % 0.17/0.41 (assume @p11 (forall @t22 (=> @t21 (= (tptp.sdtasdt0 @t1 @t34) (tptp.sdtasdt0 @t14 @t17))))) % 0.17/0.41 (assume @p12 @t36) % 0.17/0.41 (assume @p13 @t41) % 0.17/0.41 (assume @p14 @t44) % 0.17/0.41 (assume @p15 @t45) % 0.17/0.41 (assume @p16 @t50) % 0.17/0.41 (assume @p17 true) % 0.17/0.41 (step @p18 :rule bool-impl-elim :args (@t2 @t51)) % 0.17/0.41 (step @p19 :rule cong :premises (@p18) :args ((forall @t3 (=> @t2 @t51)))) % 0.17/0.41 (step @p20 :rule refl :args (@t24)) % 0.17/0.41 (step @p21 :rule eq-symm :args (@t25 @t1)) % 0.17/0.41 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t26)) % 0.17/0.41 (step @p23 :rule refl :args (@t2)) % 0.17/0.41 (step @p24 :rule cong :premises (@p23 @p22) :args (@t27)) % 0.17/0.41 (step @p25 :rule cong :premises (@p24) :args (@t28)) % 0.17/0.41 (step @p26 :rule trans :premises (@p25 @p19)) % 0.17/0.41 (step @p27 :rule eq_resolve :premises (@p9 @p26)) % 0.17/0.41 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t48))) % 0.17/0.41 (step @p29 :rule aci_norm :args ((= (or @t54 @t15) (or @t53 @t52 @t15)))) % 0.17/0.41 (step @p30 :rule refl :args (@t15)) % 0.17/0.41 (step @p31 :rule bool-and-de-morgan :args (@t2 @t11 true)) % 0.17/0.41 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t55 @t15))) % 0.17/0.41 (step @p33 :rule trans :premises (@p32 @p29)) % 0.17/0.41 (step @p34 :rule bool-impl-elim :args (@t12 @t15)) % 0.17/0.41 (step @p35 :rule trans :premises (@p34 @p33)) % 0.17/0.41 (step @p36 :rule cong :premises (@p35) :args (@t16)) % 0.17/0.41 (step @p37 :rule eq_resolve :premises (@p6 @p36)) % 0.17/0.41 (step @p38 :rule instantiate :premises (@p37) :args ((@list tptp.xa tptp.sz00))) % 0.17/0.41 (step @p39 :rule cnf_or_pos :args (@t59)) % 0.17/0.41 (step @p40 :rule reordering :premises (@p39) :args ((or @t57 @t58 @t56 (not @t59)))) % 0.17/0.41 (step @p41 :rule chain_m_resolution :premises (@p40 @p2 @p15 @p38) :args (@t56 @t60 (@list @t4 @t45 @t59))) % 0.17/0.41 (step @p42 :rule cnf_or_pos :args (@t64)) % 0.17/0.41 (step @p43 :rule reordering :premises (@p42) :args ((or @t63 @t62 (not @t64)))) % 0.17/0.41 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p28) :args (@t62 @t65 (@list @t56 @t64))) % 0.17/0.41 (step @p45 :rule cnf_and_pos :args (@t62 1)) % 0.17/0.41 (step @p46 :rule reordering :premises (@p45) :args ((or @t61 (not @t62)))) % 0.17/0.41 (step @p47 :rule chain_m_resolution :premises (@p46 @p44) :args (@t61 @t66 (@list @t62))) % 0.17/0.41 (step @p48 :rule symm :premises (@p47)) % 0.17/0.41 (step @p49 :rule aci_norm :args ((= (or @t54 @t35) @t67))) % 0.17/0.41 (step @p50 :rule refl :args (@t35)) % 0.17/0.41 (step @p51 :rule nary_cong :premises (@p31 @p50) :args ((or @t55 @t35))) % 0.17/0.41 (step @p52 :rule trans :premises (@p51 @p49)) % 0.17/0.41 (step @p53 :rule bool-impl-elim :args (@t12 @t35)) % 0.17/0.41 (step @p54 :rule trans :premises (@p53 @p52)) % 0.17/0.41 (step @p55 :rule cong :premises (@p54) :args (@t36)) % 0.17/0.41 (step @p56 :rule eq_resolve :premises (@p12 @p55)) % 0.17/0.41 (step @p57 :rule eq-symm :args (@t46 @t48)) % 0.17/0.41 (step @p58 :rule refl :args (@t58)) % 0.17/0.41 (step @p59 :rule refl :args (@t57)) % 0.17/0.41 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t68)) % 0.17/0.41 (step @p61 :rule refl :args (@t69)) % 0.17/0.41 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t69 @t68))) % 0.17/0.41 (assume-push @p212 @t69) % 0.17/0.41 (step @p64 :rule instantiate :premises (@p56) :args (@t70)) % 0.17/0.41 (step-pop @p213 :rule scope :premises (@p64)) % 0.17/0.41 (step @p65 :rule process_scope :premises (@p213) :args (@t68)) % 0.17/0.41 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.17/0.41 (step @p68 :rule implies_elim :premises (@p67)) % 0.17/0.41 (step @p69 :rule chain_m_resolution :premises (@p68 @p56) :args (@t72 @t66 (@list @t69))) % 0.17/0.41 (step @p70 :rule cnf_or_pos :args (@t72)) % 0.17/0.41 (step @p71 :rule reordering :premises (@p70) :args ((or @t57 @t58 @t71 (not @t72)))) % 0.17/0.41 (step @p72 :rule chain_m_resolution :premises (@p71 @p2 @p15 @p69) :args (@t71 @t60 (@list @t4 @t45 @t72))) % 0.17/0.41 (step @p73 :rule symm :premises (@p72)) % 0.17/0.41 (step @p74 :rule bool-impl-elim :args (@t2 @t73)) % 0.17/0.41 (step @p75 :rule cong :premises (@p74) :args ((forall @t3 (=> @t2 @t73)))) % 0.17/0.41 (step @p76 :rule refl :args (@t37)) % 0.17/0.41 (step @p77 :rule eq-symm :args (@t38 @t1)) % 0.17/0.41 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t39)) % 0.17/0.41 (step @p79 :rule cong :premises (@p23 @p78) :args (@t40)) % 0.17/0.41 (step @p80 :rule cong :premises (@p79) :args (@t41)) % 0.17/0.41 (step @p81 :rule trans :premises (@p80 @p75)) % 0.17/0.41 (step @p82 :rule eq_resolve :premises (@p13 @p81)) % 0.17/0.41 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.sz00))) % 0.17/0.41 (step @p84 :rule cnf_or_pos :args (@t78)) % 0.17/0.41 (step @p85 :rule reordering :premises (@p84) :args ((or @t57 @t77 (not @t78)))) % 0.17/0.41 (step @p86 :rule chain_m_resolution :premises (@p85 @p2 @p83) :args (@t77 @t65 (@list @t4 @t78))) % 0.17/0.41 (step @p87 :rule cnf_and_pos :args (@t77 0)) % 0.17/0.41 (step @p88 :rule reordering :premises (@p87) :args ((or @t76 (not @t77)))) % 0.17/0.41 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t76 @t66 (@list @t77))) % 0.17/0.41 (step @p90 :rule symm :premises (@p89)) % 0.17/0.41 (step @p91 :rule cong :premises (@p90 @p73) :args ((tptp.sdtpldt0 @t75 @t46))) % 0.17/0.41 (step @p92 :rule refl :args (@t46)) % 0.17/0.41 (step @p93 :rule refl :args (tptp.sz10)) % 0.17/0.41 (step @p94 :rule bool-impl-elim :args (@t2 @t79)) % 0.17/0.41 (step @p95 :rule cong :premises (@p94) :args ((forall @t3 (=> @t2 @t79)))) % 0.17/0.41 (step @p96 :rule refl :args (@t29)) % 0.17/0.41 (step @p97 :rule eq-symm :args (@t30 tptp.sz00)) % 0.17/0.41 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t31)) % 0.17/0.41 (step @p99 :rule cong :premises (@p23 @p98) :args (@t32)) % 0.17/0.41 (step @p100 :rule cong :premises (@p99) :args (@t33)) % 0.17/0.41 (step @p101 :rule trans :premises (@p100 @p95)) % 0.17/0.41 (step @p102 :rule eq_resolve :premises (@p10 @p101)) % 0.17/0.41 (step @p103 :rule instantiate :premises (@p102) :args (@t80)) % 0.17/0.41 (step @p104 :rule cnf_or_pos :args (@t85)) % 0.17/0.41 (step @p105 :rule reordering :premises (@p104) :args ((or @t58 @t84 (not @t85)))) % 0.17/0.41 (step @p106 :rule chain_m_resolution :premises (@p105 @p15 @p103) :args (@t84 @t65 (@list @t45 @t85))) % 0.17/0.41 (step @p107 :rule cnf_and_pos :args (@t84 1)) % 0.17/0.41 (step @p108 :rule reordering :premises (@p107) :args ((or @t83 (not @t84)))) % 0.17/0.41 (step @p109 :rule chain_m_resolution :premises (@p108 @p106) :args (@t83 @t66 (@list @t84))) % 0.17/0.41 (step @p110 :rule symm :premises (@p109)) % 0.17/0.41 (step @p111 :rule cong :premises (@p110 @p93) :args (@t86)) % 0.17/0.41 (step @p112 :rule aci_norm :args ((= (or @t88 @t43) (or @t53 @t52 @t87 @t43)))) % 0.17/0.41 (step @p113 :rule refl :args (@t43)) % 0.17/0.41 (step @p114 :rule aci_norm :args ((= (or @t53 (or @t52 @t87)) @t88))) % 0.17/0.41 (step @p115 :rule bool-and-de-morgan :args (@t11 @t20 true)) % 0.17/0.41 (step @p116 :rule refl :args (@t53)) % 0.17/0.41 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t53 (not (and @t11 @t20))))) % 0.17/0.41 (step @p118 :rule bool-and-de-morgan :args (@t2 @t11 (and @t20))) % 0.17/0.41 (step @p119 :rule trans :premises (@p118 @p117)) % 0.17/0.41 (step @p120 :rule trans :premises (@p119 @p114)) % 0.17/0.41 (step @p121 :rule nary_cong :premises (@p120 @p113) :args ((or @t89 @t43))) % 0.17/0.41 (step @p122 :rule trans :premises (@p121 @p112)) % 0.17/0.41 (step @p123 :rule bool-impl-elim :args (@t21 @t43)) % 0.17/0.41 (step @p124 :rule trans :premises (@p123 @p122)) % 0.17/0.41 (step @p125 :rule cong :premises (@p124) :args (@t44)) % 0.17/0.41 (step @p126 :rule eq_resolve :premises (@p14 @p125)) % 0.17/0.41 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t81 tptp.xa tptp.sz10))) % 0.17/0.41 (step @p128 :rule bool-impl-elim :args (@t2 @t7)) % 0.17/0.41 (step @p129 :rule cong :premises (@p128) :args (@t8)) % 0.17/0.41 (step @p130 :rule eq_resolve :premises (@p4 @p129)) % 0.17/0.41 (step @p131 :rule instantiate :premises (@p130) :args (@t80)) % 0.17/0.41 (step @p132 :rule cnf_or_pos :args (@t91)) % 0.17/0.41 (step @p133 :rule reordering :premises (@p132) :args ((or @t58 @t90 (not @t91)))) % 0.17/0.41 (step @p134 :rule chain_m_resolution :premises (@p133 @p15 @p131) :args (@t90 @t65 (@list @t45 @t91))) % 0.17/0.41 (step @p135 :rule cnf_or_pos :args (@t99)) % 0.17/0.41 (step @p136 :rule reordering :premises (@p135) :args ((or @t97 @t58 @t98 @t96 (not @t99)))) % 0.17/0.41 (step @p137 :rule chain_m_resolution :premises (@p136 @p3 @p15 @p134 @p127) :args (@t96 @t100 (@list @t5 @t45 @t90 @t99))) % 0.17/0.41 (step @p138 :rule cnf_and_pos :args (@t96 1)) % 0.17/0.41 (step @p139 :rule reordering :premises (@p138) :args ((or @t95 (not @t96)))) % 0.17/0.41 (step @p140 :rule chain_m_resolution :premises (@p139 @p137) :args (@t95 @t66 (@list @t96))) % 0.17/0.41 (step @p141 :rule symm :premises (@p140)) % 0.17/0.41 (step @p142 :rule trans :premises (@p141 @p111 @p90)) % 0.17/0.41 (step @p143 :rule trans :premises (@p142 @p89)) % 0.17/0.41 (step @p144 :rule cong :premises (@p143 @p92) :args (@t101)) % 0.17/0.41 (step @p145 :rule aci_norm :args ((= (or @t88 @t19) (or @t53 @t52 @t87 @t19)))) % 0.17/0.41 (step @p146 :rule refl :args (@t19)) % 0.17/0.41 (step @p147 :rule nary_cong :premises (@p120 @p146) :args ((or @t89 @t19))) % 0.17/0.41 (step @p148 :rule trans :premises (@p147 @p145)) % 0.17/0.41 (step @p149 :rule bool-impl-elim :args (@t21 @t19)) % 0.17/0.41 (step @p150 :rule trans :premises (@p149 @p148)) % 0.17/0.41 (step @p151 :rule cong :premises (@p150) :args (@t23)) % 0.17/0.41 (step @p152 :rule eq_resolve :premises (@p7 @p151)) % 0.17/0.41 (step @p153 :rule instantiate :premises (@p152) :args ((@list @t93 @t92 @t46))) % 0.17/0.41 (step @p154 :rule true_intro :premises (@p15)) % 0.17/0.41 (step @p155 :rule instantiate :premises (@p82) :args (@t80)) % 0.17/0.41 (step @p156 :rule cnf_or_pos :args (@t106)) % 0.17/0.41 (step @p157 :rule reordering :premises (@p156) :args ((or @t58 @t105 (not @t106)))) % 0.17/0.41 (step @p158 :rule chain_m_resolution :premises (@p157 @p15 @p155) :args (@t105 @t65 (@list @t45 @t106))) % 0.17/0.41 (step @p159 :rule cnf_and_pos :args (@t105 0)) % 0.17/0.41 (step @p160 :rule reordering :premises (@p159) :args ((or @t104 @t107))) % 0.17/0.41 (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t104 @t66 @t108)) % 0.17/0.41 (step @p162 :rule symm :premises (@p161)) % 0.17/0.41 (step @p163 :rule cong :premises (@p162) :args (@t109)) % 0.17/0.41 (step @p164 :rule trans :premises (@p163 @p154)) % 0.17/0.41 (step @p165 :rule true_elim :premises (@p164)) % 0.17/0.41 (step @p166 :rule instantiate :premises (@p37) :args ((@list @t81 tptp.sz10))) % 0.17/0.41 (step @p167 :rule cnf_or_pos :args (@t111)) % 0.17/0.41 (step @p168 :rule reordering :premises (@p167) :args ((or @t97 @t98 @t110 (not @t111)))) % 0.17/0.41 (step @p169 :rule chain_m_resolution :premises (@p168 @p3 @p134 @p166) :args (@t110 @t60 (@list @t5 @t90 @t111))) % 0.17/0.41 (step @p170 :rule instantiate :premises (@p37) :args (@t70)) % 0.17/0.41 (step @p171 :rule cnf_or_pos :args (@t113)) % 0.17/0.41 (step @p172 :rule reordering :premises (@p171) :args ((or @t57 @t58 @t112 (not @t113)))) % 0.17/0.41 (step @p173 :rule chain_m_resolution :premises (@p172 @p2 @p15 @p170) :args (@t112 @t60 (@list @t4 @t45 @t113))) % 0.17/0.41 (step @p174 :rule cnf_or_pos :args (@t118)) % 0.17/0.41 (step @p175 :rule reordering :premises (@p174) :args ((or @t115 @t117 @t116 @t114 (not @t118)))) % 0.17/0.41 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p169 @p165 @p153) :args (@t114 @t100 (@list @t112 @t110 @t109 @t118))) % 0.17/0.41 (step @p177 :rule cnf_and_pos :args (@t105 1)) % 0.17/0.41 (step @p178 :rule reordering :premises (@p177) :args ((or @t103 @t107))) % 0.17/0.41 (step @p179 :rule chain_m_resolution :premises (@p178 @p158) :args (@t103 @t66 @t108)) % 0.17/0.41 (step @p180 :rule symm :premises (@p179)) % 0.17/0.41 (step @p181 :rule trans :premises (@p180 @p161)) % 0.17/0.41 (step @p182 :rule cong :premises (@p181 @p92) :args (@t119)) % 0.17/0.41 (step @p183 :rule instantiate :premises (@p126) :args ((@list tptp.sz10 tptp.sz00 tptp.xa))) % 0.17/0.41 (step @p184 :rule cnf_or_pos :args (@t123)) % 0.17/0.41 (step @p185 :rule reordering :premises (@p184) :args ((or @t57 @t97 @t58 @t122 (not @t123)))) % 0.17/0.41 (step @p186 :rule chain_m_resolution :premises (@p185 @p2 @p3 @p15 @p183) :args (@t122 @t100 (@list @t4 @t5 @t45 @t123))) % 0.17/0.41 (step @p187 :rule cnf_and_pos :args (@t122 1)) % 0.17/0.41 (step @p188 :rule reordering :premises (@p187) :args ((or @t121 (not @t122)))) % 0.17/0.41 (step @p189 :rule chain_m_resolution :premises (@p188 @p186) :args (@t121 @t66 (@list @t122))) % 0.17/0.41 (step @p190 :rule refl :args (tptp.xa)) % 0.17/0.41 (step @p191 :rule instantiate :premises (@p27) :args ((@list tptp.sz10))) % 0.17/0.41 (step @p192 :rule cnf_or_pos :args (@t126)) % 0.17/0.41 (step @p193 :rule reordering :premises (@p192) :args ((or @t97 @t125 (not @t126)))) % 0.17/0.41 (step @p194 :rule chain_m_resolution :premises (@p193 @p3 @p191) :args (@t125 @t65 (@list @t5 @t126))) % 0.17/0.41 (step @p195 :rule cnf_and_pos :args (@t125 0)) % 0.17/0.41 (step @p196 :rule reordering :premises (@p195) :args ((or @t124 (not @t125)))) % 0.17/0.41 (step @p197 :rule chain_m_resolution :premises (@p196 @p194) :args (@t124 @t66 (@list @t125))) % 0.17/0.41 (step @p198 :rule cong :premises (@p197 @p190) :args (@t102)) % 0.17/0.41 (step @p199 :rule trans :premises (@p162 @p179 @p198 @p189 @p182)) % 0.17/0.41 (step @p200 :rule refl :args (@t93)) % 0.17/0.41 (step @p201 :rule cong :premises (@p200 @p199) :args (@t94)) % 0.17/0.41 (step @p202 :rule symm :premises (@p111)) % 0.17/0.41 (step @p203 :rule trans :premises (@p89 @p202 @p140 @p201 @p176 @p144 @p91 @p48)) % 0.17/0.41 (step @p204 :rule trans :premises (@p203 @p72)) % 0.17/0.41 (step @p205 :rule refl :args (@t47)) % 0.17/0.41 (step @p206 :rule eq-symm :args (@t48 tptp.sz00)) % 0.17/0.41 (step @p207 :rule nary_cong :premises (@p206 @p205) :args (@t49)) % 0.17/0.41 (step @p208 :rule cong :premises (@p207) :args (@t50)) % 0.17/0.41 (step @p209 :rule eq_resolve :premises (@p16 @p208)) % 0.17/0.41 (step @p210 :rule not_and :premises (@p209)) % 0.17/0.41 (step @p211 false :rule chain_m_resolution :premises (@p210 @p204 @p203) :args (false @t65 (@list @t47 (= tptp.sz00 @t48)))) % 0.17/0.41 ) % 0.17/0.41 % SZS output end Proof % 0.17/0.41 % cvc5 exiting %------------------------------------------------------------------------------